A note on polynomial approximation in Sobolev spaces

Verfürth, Rüdiger. " A note on polynomial approximation in Sobolev spaces." ESAIM: Mathematical Modelling and Numerical Analysis 33.4 (2010): 715-719. <http://eudml.org/doc/197452>.

@article{Verfürth2010,
abstract = { For domains which are star-shaped w.r.t. at least one point, we give new bounds on the constants in Jackson-inequalities in Sobolev spaces. For convex domains, these bounds do not depend on the eccentricity. For non-convex domains with a re-entrant corner, the bounds are uniform w.r.t. the exterior angle. The main tool is a new projection operator onto the space of polynomials. },
author = {Verfürth, Rüdiger},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Jackson inequalities; polynomial approximation; Sobolev spaces.; Jackson's inequality; star shaped domains},
language = {eng},
month = {3},
number = {4},
pages = {715-719},
publisher = {EDP Sciences},
title = { A note on polynomial approximation in Sobolev spaces},
url = {http://eudml.org/doc/197452},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Verfürth, Rüdiger
TI - A note on polynomial approximation in Sobolev spaces
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 4
SP - 715
EP - 719
AB - For domains which are star-shaped w.r.t. at least one point, we give new bounds on the constants in Jackson-inequalities in Sobolev spaces. For convex domains, these bounds do not depend on the eccentricity. For non-convex domains with a re-entrant corner, the bounds are uniform w.r.t. the exterior angle. The main tool is a new projection operator onto the space of polynomials.
LA - eng
KW - Jackson inequalities; polynomial approximation; Sobolev spaces.; Jackson's inequality; star shaped domains
UR - http://eudml.org/doc/197452
ER -